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Prove that the line through the point (x...

Prove that the line through the point `(x_1, y_1)` and parallel to the line `Ax + By + C=0` is `A(x-x_1) + B(y-y_1)=0`.

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NCERT GUJARATI-STRAIGHT LINES-EXERCISE 10.3
  1. Reduce the following equations into slope - intercept form and find th...

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  2. Reduce the following equations into intercept form and find their inte...

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  3. Reduce the following equation in normal form. Find their perpendicular...

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  4. Find the distance of the point (-1, 1) from the line 12 (x + 6) = 5 (...

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  5. What are the points on the Y- axis whose distance from the line (x)/( ...

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  6. Find the distance between parallel lines (i) 15x + 8y - 34 = 0 " and...

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  7. Find equation of the line parallel to the line 3x - 4y + 2 = 0 and pa...

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  8. Find equation of the line perpendicular to the line x-7y+5=0 and havin...

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  9. Find angles between the lines sqrt3x + y = 1 " and " x + sqrt3y = 1.

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  10. The line through the points (h,3) and (4,1) intersects the line 7x-9y-...

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  11. Prove that the line through the point (x1, y1) and parallel to the lin...

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  12. Two lines passing through the point (2,3) intersects each other at an ...

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  13. Find the equation of the right bisector of the line segment joining th...

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  14. Find the coordinates of the foot of perpendicular from the point (-1,3...

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  15. The perpendicular from the origin to the line y = mx + c meets it at t...

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  16. If p and q are the lengths of perpendiculars from the origin to the li...

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  17. In the triangle ABC with vertices A(2,3), B(4,1) and C(1,2), find the ...

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  18. If p is the length of perpendicular from the origin to the line whose ...

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